Open Question: STATS: A test consists of 10 true or false questions. To pass the test a student must get 70% or better on the?
To pass, the student must get 7 or more correct.
Out of 2^10 = 1024 possible outcomes:
There is 10C0 = 1 outcome where the student gets 10 correct.
There are 10C1 = 10 outcomes where the student gets exactly 9 correct.
There are 10C2 = 45 outcomes where the student gets exactly 8 correct.
There are 10C3 = 120 outcomes where the student gets exactly 7 correct.
This means there are 1+10+45+120 = 176 passing outcomes.
176/1024 = 17.1875%
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